%-------------------------------------------------------------------------------
@article{Mu05,
- author = {Mo Mu},
+ author = {M. Mu},
title = {{PDE.M}art: A Network-based Problem-solving Environment for {PDE}s},
- journal = {ACM Trans. Math. Software.},
+ journal = {ACM Transactions on Mathematical Software},
year = 2005,
volume = 31,
number = 4,
- pages = {508--531}
+ pages = {508--531},
+ url = {https://doi.org/10.1145/1114268.1114272}
}
%-------------------------------------------------------------------------------
%-------------------------------------------------------------------------------
@article{Kel74,
- author = {R. Bruce Kellogg},
+ author = {R.B. Kellogg},
title = {On the {P}oisson equation with intersecting interfaces},
journal = {Applicable Analysis},
year = 1974,
volume = 4,
number = 2,
- pages = {101--129}
+ pages = {101--129},
+ url = {https://doi.org/10.1080/00036817408839086}
}
%-------------------------------------------------------------------------------
%-------------------------------------------------------------------------------
@article{Li2019,
- doi = {10.1007/s10915-019-01102-1},
- url = {https://doi.org/10.1007/s10915-019-01102-1},
- year = {2019},
- month = dec,
- publisher = {Springer Science and Business Media {LLC}},
- volume = {82},
- number = {1},
- author = {Hao Li and Xiangxiong Zhang},
- title = {Superconvergence of $C^0-Q^k$ Finite Element Method for Elliptic Equations with Approximated Coefficients},
- journal = {Journal of Scientific Computing}
+ author = {H. Li and X. Zhang},
+ title = {Superconvergence of {C}$^0$-{Q}$^k$ Finite Element Method for Elliptic Equations with Approximated Coefficients},
+ journal = {Journal of Scientific Computing},
+ year = {2020},
+ volume = {82},
+ number = {1},
+ doi = {10.1007/s10915-019-01102-1},
+ url = {https://doi.org/10.1007/s10915-019-01102-1}
}
%-------------------------------------------------------------------------------
%-------------------------------------------------------------------------------
@incollection{Cangiani2012,
- doi = {10.1007/978-3-642-33134-3_34},
- url = {https://doi.org/10.1007/978-3-642-33134-3_34},
- year = {2012},
- month = nov,
+ author = {A. Cangiani and J. Chapman and E.H. Georgoulis and M. Jensen},
+ title = {Implementation of the Continuous-Discontinuous {G}alerkin Finite Element Method},
+ booktitle = {Numerical Mathematics and Advanced Applications 2011},
publisher = {Springer Berlin Heidelberg},
- pages = {315--322},
- author = {A. Cangiani and J. Chapman and E. H. Georgoulis and M. Jensen},
- title = {Implementation of the Continuous-Discontinuous Galerkin Finite Element Method},
- booktitle = {Numerical Mathematics and Advanced Applications 2011}
+ year = {2012},
+ pages = {315--322},
+ doi = {10.1007/978-3-642-33134-3_34},
+ url = {https://doi.org/10.1007/978-3-642-33134-3_34}
}
%-------------------------------------------------------------------------------
%-------------------------------------------------------------------------------
@inproceedings{Ban00w,
- author = {Wolfgang Bangerth},
- title = {Mesh Adaptivity and Error Control for a Finite Element
- Approximation of the Elastic Wave Equation},
- booktitle = {Proceedings of the Fifth International Conference on Mathematical
- and Numerical Aspects of Wave Propagation (Waves2000), Santiago
- de Compostela, Spain, 2000},
- year = 2000,
- editor = {Alfredo Berm\'udez and Dolores G\'omez and Christophe Hazard and
- Patrick Joly and Jean E. Roberts},
- publisher = {SIAM},
- pages = {725--729}
+ author = {W. Bangerth},
+ title = {Mesh Adaptivity and Error Control for a Finite Element Approximation of the Elastic Wave Equation},
+ booktitle = {Proceedings of the Fifth International Conference on Mathematical and Numerical Aspects of Wave Propagation (Waves2000), Santiago de Compostela, Spain, 2000},
+ editor = {Alfredo Berm\'udez and Dolores G\'omez and Christophe Hazard and Patrick Joly and Jean E. Roberts},
+ publisher = SIAM,
+ year = 2000,
+ pages = {725--729}
}
@phdthesis{Ban02,
- author = {Wolfgang Bangerth},
- title = {Adaptive Finite Element Methods for the Identification
- of Distributed Parameters in Partial Differential Equations},
+ author = {W. Bangerth},
+ title = {Adaptive Finite Element Methods for the Identification of Distributed Parameters in Partial Differential Equations},
school = {University of Heidelberg},
year = 2002
}
@article{BR99b,
- author = {Wolfgang Bangerth and Rolf Rannacher},
- title = {Finite element approximation of the acoustic wave equation: {E}rror
- control and mesh adaptation},
- journal = {East--West J. Numer. Math.},
+ author = {W. Bangerth and R. Rannacher},
+ title = {Finite element approximation of the acoustic wave equation: Error control and mesh adaptation},
+ journal = {East--West Journal of Numerical Mathematics},
year = 1999,
volume = 7,
number = 4,
}
@book{BR03,
- author = {Wolfgang Bangerth and Rolf Rannacher},
- title = {Adaptive Finite Element Methods for Differential Equations},
- publisher = {Birkh{\"a}user Verlag},
- year = 2003
+ author = {W. Bangerth and R. Rannacher},
+ title = {Adaptive Finite Element Methods for Differential Equations},
+ publisher = {Birkh{\"a}user Verlag},
+ year = 2003,
+ url = {https://doi.org/10.1007/978-3-0348-7605-6}
}
@article{BR01a,
- author = {Wolfgang Bangerth and Rolf Rannacher},
+ author = {W. Bangerth and R. Rannacher},
title = {Adaptive Finite Element Techniques for the Acoustic Wave Equation},
- journal = {J. Comput. Acoustics},
+ journal = {Journal of Computational Acoustics},
year = 2001,
volume = 9,
number = 2,
- pages = {575--591}
+ pages = {575--591},
+ url = {https://doi.org/10.1142/S0218396X01000668}
}
@article{BR01,
- author = {Roland Becker and Rolf Rannacher},
- title = {An optimal control approach to error estimation and mesh
- adaptation in finite element methods.},
+ author = {R. Becker and R. Rannacher},
+ title = {An optimal control approach to error estimation and mesh adaptation in finite element methods},
journal = {Acta Numerica},
year = 2001,
volume = 10,
- pages = {1--102}
+ pages = {1--102},
+ url = {https://doi.org/10.1017/S0962492901000010}
}
@phdthesis{Bec95,
- author = {Roland Becker},
- title = {An Adaptive Finite Element Method for the Incompressible
- {N}avier-{S}tokes Equations on Time-dependent Domains},
+ author = {R. Becker},
+ title = {An Adaptive Finite Element Method for the Incompressible {N}avier--{S}tokes Equations on Time-dependent Domains},
school = {Universit{\"a}t Heidelberg},
type = {Dissertation},
year = 1995
}
@techreport{Bec98,
- author = {Roland Becker},
- title = {Weighted Error Estimators for the Incompressible {N}avier-{S}tokes Equations},
+ author = {R. Becker},
+ title = {Weighted Error Estimators for the Incompressible {N}avier--{S}tokes Equations},
institution = {Universit{\"a}t Heidelberg},
- type = {Preprint 98-20},
- year = 1998
+ type = {Preprint 98-20},
+ year = 1998
}
@article{BR96r,
- author = {Roland Becker and Rolf Rannacher},
- title = {A Feed-Back Approach to Error Control in Finite Element Methods:
- Basic Analysis and Examples},
- journal = {East-West J. Numer. Math},
+ author = {R. Becker and R. Rannacher},
+ title = {A Feed-Back Approach to Error Control in Finite Element Methods: Basic Analysis and Examples},
+ journal = {East--West Journal of Numerical Mathematics},
volume = 4,
year = 1996,
pages = {237--264}
}
@inproceedings{BR95,
- author = {Roland Becker and Rolf Rannacher},
- title = {Weighted A Posteriori Error Control in {FE} Methods},
- booktitle = {ENUMATH 97},
- editor = {H. G. Bock et al.},
- publisher = {World Scientific Publ., Singapore},
- year = 1998,
- pages = {621--637}
+ author = {R. Becker and R. Rannacher},
+ title = {Weighted A Posteriori Error Control in {FE} Methods},
+ booktitle = {ENUMATH 97},
+ editor = {H. G. Bock et al.},
+ publisher = {World Scientific Publishing, Singapore},
+ year = 1998,
+ pages = {621--637}
}
@article{FK97,
- author = {Christian F{\"u}hrer and Guido Kanschat},
+ author = {C. F{\"u}hrer and G. Kanschat},
title = {A posteriori error control in radiative transfer},
journal = {Computing},
year = 1997,
volume = 58,
number = 4,
- pages = {317--334}
+ pages = {317--334},
+ url = {https://doi.org/10.1007/BF02684345}
}
@phdthesis{Har02,
- author = {Ralf Hartmann},
+ author = {R. Hartmann},
title = {Adaptive Finite Element Methods for the Compressible {E}uler Equations},
school = {Universit{\"a}t Heidelberg},
year = 2002
}
@article{HH01,
- author = {Ralf Hartmann and Paul Houston},
- title = {Adaptive Discontinuous {G}alerkin Finite Element Methods for
- Nonlinear Hyperbolic Conservation Laws},
- publisher = {SIAM}
- journal = {Journal on Scientific Computing},
- year = 2003,
- volume = 24,
- number = 3,
- pages = {979--1004}
+ author = {R. Hartmann and P. Houston},
+ title = {Adaptive Discontinuous {G}alerkin Finite Element Methods for Nonlinear Hyperbolic Conservation Laws},
+ publisher = SIAM,
+ journal = {Journal on Scientific Computing},
+ year = 2003,
+ volume = 24,
+ number = 3,
+ pages = {979--1004}
}
@article{HH01b,
- author = {Ralf Hartmann and Paul Houston},
- title = {Adaptive Discontinuous {G}alerkin Finite Element Methods for the
- Compressible {E}uler Equations},
+ author = {R. Hartmann and P. Houston},
+ title = {Adaptive Discontinuous {G}alerkin Finite Element Methods for the Compressible {E}uler Equations},
journal = {Journal of Computational Physics},
year = 2002,
volume = 183,
number = 2,
- pages = {508--532}
+ pages = {508--532},
+ url = {https://doi.org/10.1137/S1064827501389084}
}
@phdthesis{Kan96,
- author = {Guido Kanschat},
- title = {Parallel and Adaptive Galerkin Methods for Radiative Transfer Problems},
+ author = {G. Kanschat},
+ title = {Parallel and Adaptive {G}alerkin Methods for Radiative Transfer Problems},
school = {Universit{\"a}t Heidelberg},
type = {Dissertation},
year = 1996
}
@article{RS97,
- author = {Rolf Rannacher and Franz-Theo Suttmeier},
- title = {A feed-back approach to error control in finite element methods:
- Application to linear elasticity},
+ author = {R. Rannacher and F.-T. Suttmeier},
+ title = {A feed-back approach to error control in finite element methods: Application to linear elasticity},
journal = {Computational Mechanics},
year = 1997,
volume = 19,
number = 5,
- pages = {434--446}
+ pages = {434--446},
+ url = {https://doi.org/10.1007/s004660050191}
}
@article{RS98c,
- author = {Rolf Rannacher and Franz-Theo Suttmeier},
- title = {A posteriori error control in finite element methods via duality
- techniques: Application to perfect plasticity},
+ author = {R. Rannacher and F.-T. Suttmeier},
+ title = {A posteriori error control in finite element methods via duality techniques: Application to perfect plasticity},
journal = {Computational Mechanics},
year = 1998,
volume = 21,
number = 2,
- pages = {123--133}
+ pages = {123--133},
+ url = {https://doi.org/10.1007/s004660050288}
}
@article{RS99,
- author = {Rolf Rannacher and Franz-Theo Suttmeier},
- title = {A posteriori error estimation and mesh adaptation for finite
- element models in elasto-plasticity},
+ author = {R. Rannacher and F.-T. Suttmeier},
+ title = {A posteriori error estimation and mesh adaptation for finite element models in elasto-plasticity},
journal = {Computer Methods in Applied Mechanics and Engineering},
year = 1999,
volume = 176,
number = 1,
- pages = {333--361}
+ pages = {333--361},
+ url = {https://doi.org/10.1016/S0045-7825(98)00344-2}
}
@phdthesis{Sut96,
- author = {Franz-Theo Suttmeier},
- title = {Adaptive Finite Element Approximation of Problems in
- Elasto-Plasticity Theory},
+ author = {F.-T. Suttmeier},
+ title = {Adaptive Finite Element Approximation of Problems in Elasto-Plasticity Theory},
school = {Universit{\"a}t Heidelberg},
type = {Dissertation},
year = 1996
%-------------------------------------------------------------------------------
+@book{GNS08,
+ author = {I. Griva and S.G. Nash and A. Sofer},
+ title = {Linear and nonlinear optimization},
+ publisher = SIAM,
+ year = 2008,
+ edition = {2nd},
+ url = {https://doi.org/10.1007/978-1-4939-7055-1}
+}
-@Book{GNS08,
- author = {I. Griva and S. G. Nash and A. Sofer},
- title = {Linear and nonlinear optimization},
- publisher = {SIAM},
- year = 2008,
- edition = {2nd}}
-
-@Book{NW99,
- author = {J. Nocedal and S. J. Wright},
- title = {Numerical Optimization},
- publisher = {Springer, New York},
- year = 1999,
- series = {Springer Series in Operations Research}
+@book{NW99,
+ author = {J. Nocedal and S.J. Wright},
+ title = {Numerical Optimization},
+ publisher = {Springer, New York},
+ year = 1999,
+ series = {Springer Series in Operations Research},
+ url = {https://doi.org/10.1007%2F978-0-387-40065-5}
}
%-------------------------------------------------------------------------------
@article{CTZ04,
- author = {Stéphane Commend and Andrzej Truty and Thomas Zimmermann},
- title = {Stabilized finite elements applied to elastoplasticity: I. Mixed displacement–pressure formulation},
+ author = {S. Commend and A. Truty and T. Zimmermann},
+ title = {Stabilized finite elements applied to elastoplasticity: I. {M}ixed displacement–pressure formulation},
journal = {Computer Methods in Applied Mechanics and Engineering},
year = 2004,
volume = 193,
number = 33,
- pages = {3559--3586}
+ pages = {3559--3586},
+ url = {https://doi.org/10.1016/j.cma.2004.01.007}
}
@article{DL05,
- author = {Huo-Yuan Duan and Qun Lin},
+ author = {H.-Y. Duan and Q. Lin},
title = {Mixed finite elements of least-squares type for elasticity},
journal = {Computer Methods in Applied Mechanics and Engineering},
year = 2005,
volume = 194,
number = 9,
- pages = {1093--1112}
+ pages = {1093--1112},
+ url = {https://doi.org/10.1016/j.cma.2004.06.033}
}
% Step 22
% ------------------------------------
-@Article{SW94,
- author = {D. Silvester and A. Wathen},
- title = {Fast iterative solution of stabilised {S}tokes systems. {P}art
- {II}: {U}sing general block preconditioners},
- journal = {SIAM J. Numer. Anal.},
- year = 1994,
- volume = 31,
- pages = {1352--1367}}
+@article{SW94,
+ author = {D. Silvester and A. Wathen},
+ title = {Fast iterative solution of stabilised {S}tokes systems. {P}art {II}: Using general block preconditioners},
+ journal = {SIAM Journal on Numerical Analysis},
+ year = 1994,
+ volume = 31,
+ pages = {1352--1367},
+ url = {https://doi.org/10.1137/0731070}
+}
% ------------------------------------
% ------------------------------------
@phdthesis{fehling2020,
- author = {Marc Fehling},
- title = {Algorithms for massively parallel generic hp-adaptive finite element methods},
+ author = {M. Fehling},
+ title = {Algorithms for massively parallel generic \textit{hp}-adaptive finite element methods},
publisher = {Forschungszentrum Jülich GmbH Zentralbibliothek, Verlag},
school = {Bergische Universität Wuppertal},
year = {2020},
% ------------------------------------
@article{Brenner2005,
- doi = {10.1007/s10915-004-4135-7},
- url = {https://doi.org/10.1007/s10915-004-4135-7},
- year = {2005},
- month = jun,
+ author = {S.C. Brenner and L.-Y. Sung},
+ title = {C$^0$ Interior Penalty Methods for Fourth Order Elliptic Boundary Value Problems on Polygonal Domains},
+ journal = {Journal of Scientific Computing},
publisher = {Springer Science and Business Media {LLC}},
- volume = {22-23},
- number = {1-3},
- pages = {83--118},
- author = {Susanne C. Brenner and Li-Yeng Sung},
- title = {$C^0$ Interior Penalty Methods for Fourth Order Elliptic Boundary Value Problems on Polygonal Domains},
- journal = {Journal of Scientific Computing}
+ year = {2005},
+ volume = {22},
+ number = {1},
+ pages = {83--118},
+ doi = {10.1007/s10915-004-4135-7},
+ url = {https://doi.org/10.1007/s10915-004-4135-7}
}
@incollection{Brenner2011,
- doi = {10.1007/978-3-642-23914-4_2},
- url = {https://doi.org/10.1007/978-3-642-23914-4_2},
- year = {2011},
+ author = {S.C. Brenner},
+ title = {C$^0$ Interior Penalty Methods},
+ booktitle = {Lecture Notes in Computational Science and Engineering},
publisher = {Springer Berlin Heidelberg},
- pages = {79--147},
- author = {Susanne C. Brenner},
- title = {$C^0$ Interior Penalty Methods},
- booktitle = {Lecture Notes in Computational Science and Engineering}
+ year = {2011},
+ pages = {79--147},
+ doi = {10.1007/978-3-642-23914-4_2},
+ url = {https://doi.org/10.1007/978-3-642-23914-4_2}
}
@article{Engel2002,
- doi = {10.1016/s0045-7825(02)00286-4},
- url = {https://doi.org/10.1016/s0045-7825(02)00286-4},
- year = {2002},
- month = jul,
- publisher = {Elsevier {BV}},
- volume = {191},
- number = {34},
- pages = {3669--3750},
- author = {G. Engel and K. Garikipati and T.J.R. Hughes and M.G. Larson and L. Mazzei and R.L. Taylor},
- title = {Continuous/discontinuous finite element approximations of fourth-order elliptic problems in structural and continuum mechanics with applications to thin beams and plates, and strain gradient elasticity},
- journal = {Computer Methods in Applied Mechanics and Engineering}
+ author = {G. Engel and K. Garikipati and T.J.R. Hughes and M.G. Larson and L. Mazzei and R.L. Taylor},
+ title = {Continuous/discontinuous finite element approximations of fourth-order elliptic problems in structural and continuum mechanics with applications to thin beams and plates, and strain gradient elasticity},
+ journal = {Computer Methods in Applied Mechanics and Engineering},
+ publisher = {Elsevier BV},
+ year = {2002},
+ volume = {191},
+ number = {34},
+ pages = {3669--3750},
+ doi = {10.1016/s0045-7825(02)00286-4},
+ url = {https://doi.org/10.1016/s0045-7825(02)00286-4}
}
@article{Brenner2009,
- doi = {10.1093/imanum/drn057},
- url = {https://doi.org/10.1093/imanum/drn057},
- year = {2009},
- month = mar,
+ author = {S.C. Brenner and T. Gudi and L.-Y. Sung},
+ title = {An a posteriori error estimator for a quadratic C0-interior penalty method for the biharmonic problem},
+ journal = {IMA Journal of Numerical Analysis},
publisher = {Oxford University Press ({OUP})},
- volume = {30},
- number = {3},
- pages = {777--798},
- author = {S. C. Brenner and T. Gudi and L.-Y. Sung},
- title = {An a posteriori error estimator for a quadratic C0-interior penalty method for the biharmonic problem},
- journal = {{IMA} Journal of Numerical Analysis}
+ year = {2009},
+ volume = {30},
+ number = {3},
+ pages = {777--798},
+ doi = {10.1093/imanum/drn057},
+ url = {https://doi.org/10.1093/imanum/drn057}
}
@article{Wells2007,
- doi = {10.1016/j.cma.2007.03.008},
- url = {https://doi.org/10.1016/j.cma.2007.03.008},
- year = {2007},
- month = jul,
- publisher = {Elsevier {BV}},
- volume = {196},
- number = {35-36},
- pages = {3370--3380},
- author = {Garth N. Wells and Nguyen Tien Dung},
- title = {A C0 discontinuous Galerkin formulation for Kirchhoff plates},
- journal = {Computer Methods in Applied Mechanics and Engineering}
+ author = {G.N. Wells and N.T. Dung},
+ title = {A {C}$^0$ discontinuous {G}alerkin formulation for {K}irchhoff plates},
+ journal = {Computer Methods in Applied Mechanics and Engineering},
+ publisher = {Elsevier BV},
+ year = {2007},
+ volume = {196},
+ number = {35-36},
+ pages = {3370--3380},
+ doi = {10.1016/j.cma.2007.03.008},
+ url = {https://doi.org/10.1016/j.cma.2007.03.008}
}
% ------------------------------------
% ------------------------------------
@article{karakashian2003posteriori,
- title={A posteriori error estimates for a discontinuous Galerkin approximation of second-order elliptic problems},
- author={Karakashian, Ohannes A and Pascal, Frederic},
- journal={SIAM Journal on Numerical Analysis},
- volume={41},
- number={6},
- pages={2374--2399},
- year={2003},
- publisher={SIAM}
+ author = {O.A. Karakashian and F. Pascal},
+ title = {A posteriori error estimates for a discontinuous {G}alerkin approximation of second-order elliptic problems},
+ journal = {SIAM Journal on Numerical Analysis},
+ publisher = SIAM,
+ year = {2003},
+ volume = {41},
+ number = {6},
+ pages = {2374--2399},
+ url = {https://doi.org/10.1137/S0036142902405217}
}
% ------------------------------------
% ------------------------------------
@article {Ngu2012,
- AUTHOR = {Nguyen, N. C. and Peraire, J.},
- TITLE = {Hybridizable discontinuous {G}alerkin methods for partial
- differential equations in continuum mechanics},
- JOURNAL = {J. Comput. Phys.},
- FJOURNAL = {Journal of Computational Physics},
- VOLUME = {231},
+ AUTHOR = {N.C. Nguyen and J. Peraire},
+ TITLE = {Hybridizable discontinuous {G}alerkin methods for partial differential equations in continuum mechanics},
+ JOURNAL = {Journal of Computational Physics},
YEAR = {2012},
+ VOLUME = {231},
NUMBER = {18},
PAGES = {5955--5988},
- ISSN = {0021-9991},
- MRCLASS = {65N30},
- MRNUMBER = {2954837},
DOI = {10.1016/j.jcp.2012.02.033},
- URL = {https://doi.org/10.1016/j.jcp.2012.02.033},
+ URL = {https://doi.org/10.1016/j.jcp.2012.02.033}
}
@incollection{F65,
- author = {Fraeijs de Veubeke, B. X.},
- title = {Displacement and equilibrium models in the finite element method},
+ author = {B.X. Fraeijs de Veubeke},
+ title = {Displacement and equilibrium models in the finite element method},
booktitle = {Stress Analysis},
publisher = {Wiley, New York},
- editor = {Zienkiewicz, O. C. and Holister, G. S.},
- year = {1965},
- pages = {275-284},
- URL = {https://ci.nii.ac.jp/naid/10003737730/en/},
+ editor = {O.C. Zienkiewicz and G.S. Holister},
+ year = {1965},
+ pages = {275-284},
+ URL = {https://ci.nii.ac.jp/naid/10003737730/en/}
}
@article{G65,
- doi = {10.2514/3.2874},
- url = {https://doi.org/10.2514/3.2874},
- year = {1965},
- month = {feb},
+ author = {R.J. Guyan},
+ title = {Reduction of stiffness and mass matrices},
+ journal = {AIAA Journal},
publisher = {American Institute of Aeronautics and Astronautics ({AIAA})},
- volume = {3},
- number = {2},
- pages = {380--380},
- author = {R. J. Guyan},
- title = {Reduction of stiffness and mass matrices},
- journal = {{AIAA} Journal}
+ year = {1965},
+ volume = {3},
+ number = {2},
+ pages = {380--380},
+ doi = {10.2514/3.2874},
+ url = {https://doi.org/10.2514/3.2874}
}
@article {CGL2009,
- AUTHOR = {Cockburn, Bernardo and Gopalakrishnan, Jayadeep and Lazarov, Raytcho},
- TITLE = {Unified hybridization of discontinuous {G}alerkin, mixed, and
- continuous {G}alerkin methods for second order elliptic
- problems},
- JOURNAL = {SIAM J. Numer. Anal.},
- FJOURNAL = {SIAM Journal on Numerical Analysis},
- VOLUME = {47},
+ AUTHOR = {B. Cockburn and J. Gopalakrishnan and R. Lazarov},
+ TITLE = {Unified hybridization of discontinuous {G}alerkin, mixed, and continuous {G}alerkin methods for second order elliptic problems},
+ JOURNAL = {SIAM Journal on Numerical Analysis},
YEAR = {2009},
+ VOLUME = {47},
NUMBER = {2},
PAGES = {1319--1365},
- ISSN = {0036-1429},
- MRCLASS = {65N30},
- MRNUMBER = {2485455},
-MRREVIEWER = {Jose Luis Gracia},
DOI = {10.1137/070706616},
- URL = {http://dx.doi.org/10.1137/070706616},
+ URL = {https://doi.org/10.1137/070706616}
}
% ------------------------------------
% Step 55
% ------------------------------------
-@Book{elman2005,
+@book{elman2005,
+ Author = {H.C. Elman and D.J. Silvester and A.J. Wathen},
Title = {Finite Elements and Fast Iterative Solvers with Applications in Incompressible Fluid Dynamics},
- Author = {Elman, H. C. and Silvester, D. J. and Wathen, A. J.},
Publisher = {Oxford University Press},
Year = {2005},
Address = {Oxford, New York},
Series = {Numerical Mathematics and Scientific Computation},
- ISBN = {0-19-852868-X},
+ Url = {https://doi.org/10.1093/acprof:oso/9780199678792.001.0001}
}
@inproceedings{kovasznay1948laminar,
- title={Laminar flow behind a two-dimensional grid},
- author={Kovasznay, LIG},
- booktitle={Mathematical Proceedings of the Cambridge Philosophical Society},
- volume={44},
- number={1},
- pages={58--62},
- year={1948},
- organization={Cambridge University Press}
+ author = {L.I.G. Kovasznay},
+ title = {Laminar flow behind a two-dimensional grid},
+ booktitle = {Mathematical Proceedings of the Cambridge Philosophical Society},
+ organization = {Cambridge University Press},
+ year = {1948},
+ volume = {44},
+ number = {1},
+ pages = {58--62},
+ url = {https://doi.org/10.1017/S0305004100023999}
}
% ------------------------------------
@incollection{Wang2019,
- doi = {10.1007/978-3-030-22747-0_37},
- url = {https://doi.org/10.1007/978-3-030-22747-0_37},
- year = {2019},
+ author = {Z. Wang and G. Harper and P. O'Leary and J. Liu and S. Tavener},
+ title = {deal.{II} Implementation of a Weak {G}alerkin Finite Element Solver for Darcy Flow},
+ booktitle = {Lecture Notes in Computer Science},
publisher = {Springer International Publishing},
- pages = {495--509},
- author = {Zhuoran Wang and Graham Harper and Patrick O'Leary and Jiangguo Liu and Simon Tavener},
- title = {deal.{II} Implementation of a Weak Galerkin Finite Element Solver for Darcy Flow},
- booktitle = {Lecture Notes in Computer Science}
+ year = {2019},
+ pages = {495--509},
+ doi = {10.1007/978-3-030-22747-0_37},
+ url = {https://doi.org/10.1007/978-3-030-22747-0_37}
}
% ------------------------------------
% ------------------------------------
@incollection{john2006discontinuity,
- title={On discontinuity—capturing methods for convection—diffusion equations},
- author={John, Volker and Knobloch, Petr},
- booktitle={Numerical Mathematics and Advanced Applications},
- pages={336--344},
- year={2006},
- publisher={Springer}
+ author = {V. John and P. Knobloch},
+ title = {On discontinuity—capturing methods for convection—diffusion equations},
+ booktitle = {Numerical Mathematics and Advanced Applications},
+ publisher = {Springer},
+ year = {2006},
+ pages = {336--344},
+ url = {https://doi.org/10.1007/978-3-540-34288-5_27}
}
@article{KanschatNotesIterative,
- title={Notes on Applied Mathematics: Iterative methods, Schwarz preconditioners and multigrid},
- author={Kanschat, Guido},
- year={2015},
- url={https://www.mathsim.eu/~gkanscha/notes/C.pdf}
+ author = {G. Kanschat},
+ title = {Notes on Applied Mathematics: Iterative methods, Schwarz preconditioners and multigrid},
+ year = {2015},
+ url = {https://www.mathsim.eu/~gkanscha/notes/C.pdf}
}
@book{smith2004domain,
- title={Domain decomposition: parallel multilevel methods for elliptic partial differential equations},
- author={Smith, Barry and Bjorstad, Petter and Gropp, William},
- year={2004},
- publisher={Cambridge University Press}
+ author = {B. Smith and P. Bjorstad and W. Gropp},
+ title = {Domain decomposition: parallel multilevel methods for elliptic partial differential equations},
+ publisher = {Cambridge University Press},
+ year = {2004}
}
@book{toselli2006domain,
- title={Domain decomposition methods-algorithms and theory},
- author={Toselli, Andrea and Widlund, Olof},
- volume={34},
- year={2006},
- publisher={Springer Science \& Business Media}
+ author = {A. Toselli and O. Widlund},
+ title = {Domain decomposition methods-algorithms and theory},
+ publisher = {Springer Science \& Business Media},
+ year = {2006},
+ volume = {34},
+ url = {https://doi.org/10.1007/b137868}
}
% ------------------------------------
% ------------------------------------
@book{bebernes1989mathematical,
+ author = {J. Bebernes and D. Eberly},
title = {Mathematical Problems from Combustion Theory},
- author = {Bebernes, J. and Eberly, D.},
+ publisher = {Springer-Verlag, New York, NY},
+ year = {1989},
volume = {83},
series = {Applied Mathematical Sciences},
- publisher = {Springer-Verlag, New York, NY},
- year = {1989}
+ url = {https://doi.org/10.1007/978-1-4612-4546-9}
}
@phdthesis{castelli2021numerical,
author = {Castelli, G. F.},
- title = {Numerical Investigation of {Cahn--Hilliard}-Type Phase-Field Models for Battery Active Particles},
+ title = {Numerical Investigation of {C}ahn--{H}illiard-Type Phase-Field Models for Battery Active Particles},
school = {Karlsruhe Institute of Technology (KIT)},
year = {2021},
note = {(To be published)}
% ------------------------------------
@article{KennedyCarpenterLewis2000,
-author = {Kennedy, Christopher A. and Carpenter, Mark H. and Lewis, R. Micheal},
-title = {Low-storage, explicit {R}unge--{K}utta schemes for the compressible {N}avier--{S}tokes equations},
-journal = {Applied Numerical Mathematics},
-volume = 35,
-year = 2000,
-pages = {177--219},
-doi = {10.1016/S0168-9274(99)00141-5},
-url = {https://doi.org/10.1016/S0168-9274(99)00141-5}
+ author = {C.A. Kennedy and M.H. Carpenter and R.M. Lewis},
+ title = {Low-storage, explicit {R}unge--{K}utta schemes for the compressible {N}avier--{S}tokes equations},
+ journal = {Applied Numerical Mathematics},
+ year = 2000,
+ volume = 35,
+ pages = {177--219},
+ doi = {10.1016/S0168-9274(99)00141-5},
+ url = {https://doi.org/10.1016/S0168-9274(99)00141-5}
}
@article{TseliosSimos2007,
-author = {Tselios, Kostas and Simos, Theodore E.},
-title = {Optimized {R}unge--{K}utta methods with minimal dispersion and dissipation for problems arising from computational acoustics},
-journal = {Physics Letters A},
-volume = 363,
-year = 2007,
-pages = {38--48},
-doi = {10.1016/j.physleta.2006.10.072},
-url = {https://doi.org/10.1016/j.physleta.2006.10.072}
+ author = {K. Tselios and T.E. Simos},
+ title = {Optimized {R}unge--{K}utta methods with minimal dispersion and dissipation for problems arising from computational acoustics},
+ journal = {Physics Letters A},
+ year = 2007,
+ volume = 363,
+ pages = {38--48},
+ doi = {10.1016/j.physleta.2006.10.072},
+ url = {https://doi.org/10.1016/j.physleta.2006.10.072}
}
@article{KronbichlerSchoeder2016,
-author = {Kronbichler, Martin and Schoeder, Svenja and M\"uller, Christopher and Wall, Wolfgang A.},
-title = {Comparison of implicit and explicit hybridizable discontinuous {G}alerkin methods for the acoustic wave equation},
-journal = {International Journal for Numerical Methods in Engineering},
-volume = "106",
-number = 9,
-pages = "712--739",
-doi = {10.1002/nme.5137},
-url = {https://doi.org/10.1002/nme.5137},
-year = {2016}
+ author = {M. Kronbichler and S. Schoeder and C. M\"uller and W.A. Wall},
+ title = {Comparison of implicit and explicit hybridizable discontinuous {G}alerkin methods for the acoustic wave equation},
+ journal = {International Journal for Numerical Methods in Engineering},
+ year = {2016}
+ volume = {106},
+ number = {9},
+ pages = {712--739},
+ doi = {10.1002/nme.5137},
+ url = {https://doi.org/10.1002/nme.5137}
}
@article{SchoederKormann2018,
- title={Efficient explicit time stepping of high order discontinuous {G}alerkin schemes for waves},
- author={Schoeder, Svenja and Kormann, Katharina and Wall, Wolfgang A. and Kronbichler, Martin},
- journal={SIAM J. Sci. Comput.},
- pages = {C803--C826},
- volume = 40,
- number = 6,
- year={2018},
- doi={10.1137/18M1185399},
- url={https://doi.org/10.1137/18M1185399}
+ author = {S. Schoeder and K. Kormann and W.A. Wall and M. Kronbichler},
+ title = {Efficient explicit time stepping of high order discontinuous {G}alerkin schemes for waves},
+ journal = {SIAM Journal on Scientific Computing},
+ year = {2018},
+ volume = 40,
+ number = 6,
+ pages = {C803--C826},
+ doi = {10.1137/18M1185399},
+ url = {https://doi.org/10.1137/18M1185399}
}
-
@article{FehnWallKronbichler2019,
-author = {Fehn, Niklas and Wall, Wolfgang A. and Kronbichler, Martin},
-title = {A matrix-free high-order discontinuous {G}alerkin compressible {N}avier--{S}tokes solver:
-A performance comparison of compressible and incompressible formulations for turbulent incompressible flows},
-journal = {International Journal for Numerical Methods in Fluids},
-volume = {89},
-number = {3},
-pages = {71--102},
-year = {2019},
-doi = {10.1002/fld.4683},
-url = {https://doi.org/10.1002/fld.4683}
+ author = {N. Fehn and W.A. Wall and M. Kronbichler},
+ title = {A matrix-free high-order discontinuous {G}alerkin compressible {N}avier--{S}tokes solver: A performance comparison of compressible and incompressible formulations for turbulent incompressible flows},
+ journal = {International Journal for Numerical Methods in Fluids},
+ year = {2019},
+ volume = {89},
+ number = {3},
+ pages = {71--102},
+% doi = {10.1002/fld.4683},
+ url = {https://doi.org/10.1002/fld.4683}
}
@article{KronbichlerKormann2019,
-author = {Kronbichler, Martin and Kormann, Katharina},
-title = {Fast matrix-free evaluation of discontinuous {G}alerkin finite element operators},
-journal = {ACM Transactions on Mathematical Software},
-volume = {45},
-number = {3},
-pages = {29:1--29:40},
-year = {2019},
-doi = {10.1145/3325864},
-url = {https://doi.org/10.1145/3325864}
+ author = {M. Kronbichler and K. Kormann},
+ title = {Fast matrix-free evaluation of discontinuous {G}alerkin finite element operators},
+ journal = {ACM Transactions on Mathematical Software},
+ year = {2019},
+ volume = {45},
+ number = {3},
+ pages = {29:1--29:40},
+ doi = {10.1145/3325864},
+ url = {https://doi.org/10.1145/3325864}
}
@article{Gassner2013,
- doi = {10.1137/120890144},
- url = {https://doi.org/10.1137/120890144},
- year = {2013},
- volume = {35},
- number = {3},
- pages = {A1233--A1253},
- author = {Gregor J. Gassner},
- title = {A Skew-Symmetric Discontinuous {G}alerkin Spectral Element Discretization and Its Relation to {SBP}-{SAT} Finite Difference Methods},
- journal = {{SIAM} Journal on Scientific Computing}
+ author = {G.J. Gassner},
+ title = {A Skew-Symmetric Discontinuous {G}alerkin Spectral Element Discretization and Its Relation to {SBP}-{SAT} Finite Difference Methods},
+ journal = {SIAM Journal on Scientific Computing},
+ year = {2013},
+ volume = {35},
+ number = {3},
+ pages = {A1233--A1253},
+ doi = {10.1137/120890144},
+ url = {https://doi.org/10.1137/120890144}
}
% ------------------------------------
% ------------------------------------
@article{Blais2013,
- title={Dealing with more than two materials in the FVCF--ENIP method},
- author={Blais, Bruno and Braeunig, Jean-Philippe and Chauveheid, Daniel and Ghidaglia, Jean-Michel and Loub{\`e}re, Rapha{\"e}l},
- journal={European Journal of Mechanics-B/Fluids},
- volume={42},
- pages={1--9},
- year={2013},
- publisher={Elsevier}
+ author = {B. Blais and J.-P. Braeunig and D. Chauveheid and J.-M. Ghidaglia and R. Loub{\`e}re},
+ title = {Dealing with more than two materials in the {FVCF}--{ENIP} method},
+ journal = {European Journal of Mechanics-B/Fluids},
+ publisher = {Elsevier},
+ year = {2013},
+ volume = {42},
+ pages = {1--9},
+ url = {https://doi.org/10.1016/j.euromechflu.2013.05.001}
}
@article{Blais2019,
- title={Experimental Methods in Chemical Engineering: Discrete Element Method—DEM},
- author={Blais, Bruno and Vidal, David and Bertrand, Francois and Patience, Gregory S and Chaouki, Jamal},
- journal={The Canadian Journal of Chemical Engineering},
- volume={97},
- number={7},
- pages={1964--1973},
- year={2019},
- publisher={Wiley Online Library}
+ author = {B. Blais and D. Vidal and F. Bertrand and G.S. Patience and J. Chaouki},
+ title = {Experimental Methods in Chemical Engineering: Discrete Element Method--{DEM}},
+ journal = {The Canadian Journal of Chemical Engineering},
+ publisher = {Wiley Online Library},
+ year = {2019},
+ volume = {97},
+ number = {7},
+ pages = {1964--1973},
+ url = {https://doi.org/10.1002/cjce.23501}
}
@article{Gassmoller2019,
- title={Evaluating the accuracy of hybrid finite element/particle-in-cell methods for modelling incompressible Stokes flow},
- author={Gassm{\"o}ller, Rene and Lokavarapu, Harsha and Bangerth, Wolfgang and Puckett, Elbridge Gerry},
- journal={Geophysical Journal International},
- volume={219},
- number={3},
- pages={1915--1938},
- year={2019},
- publisher={Oxford University Press}
+ author = {R. Gassm{\"o}ller and H. Lokavarapu and W. Bangerth and E.G. Puckett},
+ title = {Evaluating the accuracy of hybrid finite element/particle-in-cell methods for modelling incompressible {S}tokes flow},
+ journal = {Geophysical Journal International},
+ publisher = {Oxford University Press},
+ year = {2019},
+ volume = {219},
+ number = {3},
+ pages = {1915--1938},
+ url = {https://doi.org/10.1093/gji/ggz405}
}
% ------------------------------------
@article {GuermondPopov2016,
- AUTHOR = {Guermond, Jean-Luc and Popov, Bojan},
- TITLE = {Invariant domains and first-order continuous finite element
- approximation for hyperbolic systems},
- JOURNAL = {SIAM J. Numer. Anal.},
- FJOURNAL = {SIAM Journal on Numerical Analysis},
- VOLUME = {54},
+ AUTHOR = {J.-L. Guermond and B. Popov},
+ TITLE = {Invariant domains and first-order continuous finite element approximation for hyperbolic systems},
+ JOURNAL = {SIAM Journal on Numerical Analysis},
YEAR = {2016},
+ VOLUME = {54},
NUMBER = {4},
PAGES = {2466--2489},
- ISSN = {0036-1429},
DOI = {10.1137/16M1074291},
+ URL = {https://doi.org/10.1137/16M1074291}
}
@article {GuermondPopov2016b,
- AUTHOR = {Guermond, Jean-Luc and Popov, Bojan},
- TITLE = {Fast estimation of the maximum wave speed in the Riemann problem for the Euler equations},
- JOURNAL = {J. Comput. Phys.},
- FJOURNAL = {Journal of Computational Physics},
- VOLUME = {321},
+ AUTHOR = {J.-L. Guermond and B. Popov},
+ TITLE = {Fast estimation of the maximum wave speed in the {R}iemann problem for the {E}uler equations},
+ JOURNAL = {Journal of Computational Physics},
YEAR = {2016},
+ VOLUME = {321},
PAGES = {908--926},
- ISSN = {0021-9991},
DOI = {10.1016/j.jcp.2016.05.054},
+ URL = {https://doi.org/10.1016/j.jcp.2016.05.054}
}
@article {GuermondEtAl2018,
- AUTHOR = {Guermond, Jean-Luc and Nazarov, Murtazo and Popov, Bojan and
- Tomas, Ignacio},
- TITLE = {Second-order invariant domain preserving approximation of the
- {E}uler equations using convex limiting},
- JOURNAL = {SIAM J. Sci. Comput.},
- FJOURNAL = {SIAM Journal on Scientific Computing},
- VOLUME = {40},
+ AUTHOR = {J.-L. Guermond and M. Nazarov and B. Popov and I. Tomas},
+ TITLE = {Second-order invariant domain preserving approximation of the {E}uler equations using convex limiting},
+ JOURNAL = {SIAM Journal on Scientific Computing},
YEAR = {2018},
+ VOLUME = {40},
NUMBER = {5},
PAGES = {A3211--A3239},
- ISSN = {1064-8275},
DOI = {10.1137/17M1149961},
+ URL = {http://doi.org/10.1137/17M1149961}
}
@book {GuermondErn2004,
- AUTHOR = {Ern, Alexandre and Guermond, Jean-Luc},
+ AUTHOR = {A. Ern and J.-L. Guermond},
TITLE = {Theory and practice of finite elements},
SERIES = {Applied Mathematical Sciences},
VOLUME = {159},
PUBLISHER = {Springer-Verlag, New York},
YEAR = {2004},
PAGES = {xiv+524},
- ISBN = {0-387-20574-8},
DOI = {10.1007/978-1-4757-4355-5},
+ URL = {https://doi.org/10.1007/978-1-4757-4355-5}
}
@article {Brooks1982,
- AUTHOR = {Brooks, Alexander N. and Hughes, Thomas J. R.},
- TITLE = {Streamline upwind/{P}etrov-{G}alerkin formulations for
- convection dominated flows with particular emphasis on the
- incompressible {N}avier-{S}tokes equations},
+ AUTHOR = {A.N. Brooks and T.J.R. Hughes},
+ TITLE = {Streamline upwind/{P}etrov-{G}alerkin formulations for convection dominated flows with particular emphasis on the incompressible {N}avier-{S}tokes equations},
NOTE = {FENOMECH ''81, Part I (Stuttgart, 1981)},
- JOURNAL = {Comput. Methods Appl. Mech. Engrg.},
- FJOURNAL = {Computer Methods in Applied Mechanics and Engineering},
- VOLUME = {32},
+ JOURNAL = {Computer Methods in Applied Mechanics and Engineering},
YEAR = {1982},
+ VOLUME = {32},
NUMBER = {1-3},
PAGES = {199--259},
- ISSN = {0045-7825},
DOI = {10.1016/0045-7825(82)90071-8},
+ URL = {https://doi.org/10.1016/0045-7825(82)90071-8}
}
@article {Johnson1986,
- AUTHOR = {Johnson, C. and Pitk\"{a}ranta, J.},
- TITLE = {An analysis of the discontinuous {G}alerkin method for a
- scalar hyperbolic equation},
- JOURNAL = {Math. Comp.},
- FJOURNAL = {Mathematics of Computation},
+ AUTHOR = {C. Johnson and J. Pitk\"{a}ranta},
+ TITLE = {An analysis of the discontinuous {G}alerkin method for a scalar hyperbolic equation},
+ JOURNAL = {Mathematics of Computation},
+ YEAR = {1986},
VOLUME = {46},
- YEAR = {1986},
NUMBER = {173},
PAGES = {1--26},
- ISSN = {0025-5718},
DOI = {10.2307/2008211},
+ URL = {https://doi.org/10.2307/2008211}
}
@book{Rainald2008,
-author = {Lohner, Rainald},
-publisher = {John Wiley & Sons, Ltd},
-isbn = {9780470989746},
-title = {Edge-Based Compressible Flow Solvers},
-booktitle = {Applied Computational Fluid Dynamics Techniques},
-chapter = {10},
-pages = {187-200},
-doi = {10.1002/9780470989746.ch10},
-year = {2008},
+ author = {R. Lohner},
+ title = {Edge-Based Compressible Flow Solvers},
+ booktitle = {Applied Computational Fluid Dynamics Techniques},
+ publisher = {John Wiley & Sons, Ltd},
+ year = {2008},
+ chapter = {10},
+ pages = {187-200},
+ doi = {10.1002/9780470989746.ch10},
+ url = {https://doi.org/10.1002/9780470989746.ch10}
}
@book {Toro2009,
- AUTHOR = {Eleuterio F. Toro},
+ AUTHOR = {F.T. Eleuterio},
+ TITLE = {Riemann Solvers and Numerical Methods for Fluid Dynamics},
PUBLISHER = {Springer-Verlag, Berlin, Heidelberg},
- ISBN = {9783540252023},
- TITLE ={Riemann Solvers and Numerical Methods for Fluid Dynamics},
- doi = {10.1007/b79761},
- year = {2009}
+ year = {2009},
+ doi = {10.1007/b79761},
+ url = {https:doi.org/10.1007/b79761}
}
% ------------------------------------
-
-@InProceedings{Freund1995,
- author = {Freund, J. and Stenberg, R.},
- title = {On weakly imposed boundary conditions for
- second order problems},
- booktitle = {Proceedings of the Ninth International Conference on
- Finite Elements in Fluids},
+@inproceedings{Freund1995,
+ author = {J. Freund and R. Stenberg},
+ title = {On weakly imposed boundary conditions for second order problems},
+ booktitle = {Proceedings of the Ninth International Conference on Finite Elements in Fluids},
year = 1995,
- pages = {327--336}}
+ pages = {327--336}
+}
@article{Angot1999,
- doi = {10.1007/s002110050401},
- url = {https://doi.org/10.1007/s002110050401},
- year = {1999},
- month = feb,
+ author = {P. Angot and C.-H. Bruneau and P. Fabrie},
+ title = {A penalization method to take into account obstacles in incompressible viscous flows},
+ journal = {Numerische Mathematik},
publisher = {Springer Science and Business Media {LLC}},
- volume = {81},
- number = {4},
- pages = {497--520},
- author = {Philippe Angot and Charles-Henri Bruneau and Pierre Fabrie},
- title = {A penalization method to take into account obstacles in incompressible viscous flows},
- journal = {Numerische Mathematik}
+ year = {1999},
+ volume = {81},
+ number = {4},
+ pages = {497--520},
+ doi = {10.1007/s002110050401},
+ url = {https://doi.org/10.1007/s002110050401}
}
-
@article{Glowinski1999,
- doi = {10.1016/s0301-9322(98)00048-2},
- url = {https://doi.org/10.1016/s0301-9322(98)00048-2},
- year = {1999},
- month = aug,
- publisher = {Elsevier {BV}},
- volume = {25},
- number = {5},
- pages = {755--794},
- author = {R. Glowinski and T.-W. Pan and T.I. Hesla and D.D. Joseph},
- title = {A distributed Lagrange multiplier/fictitious domain method for particulate flows},
- journal = {International Journal of Multiphase Flow}
+ author = {R. Glowinski and T.-W. Pan and T.I. Hesla and D.D. Joseph},
+ title = {A distributed Lagrange multiplier/fictitious domain method for particulate flows},
+ journal = {International Journal of Multiphase Flow},
+ publisher = {Elsevier BV},
+ year = {1999},
+ volume = {25},
+ number = {5},
+ pages = {755--794},
+ doi = {10.1016/s0301-9322(98)00048-2},
+ url = {https://doi.org/10.1016/s0301-9322(98)00048-2}
}
@article{Boffi2008,
- doi = {10.1016/j.cma.2007.09.015},
- url = {https://doi.org/10.1016/j.cma.2007.09.015},
- year = {2008},
- month = apr,
- publisher = {Elsevier {BV}},
- volume = {197},
- number = {25-28},
- pages = {2210--2231},
- author = {Daniele Boffi and Lucia Gastaldi and Luca Heltai and Charles S. Peskin},
- title = {On the hyper-elastic formulation of the immersed boundary method},
- journal = {Computer Methods in Applied Mechanics and Engineering}
+ author = {D. Boffi and L. Gastaldi and L. Heltai and Ch.S. Peskin},
+ title = {On the hyper-elastic formulation of the immersed boundary method},
+ journal = {Computer Methods in Applied Mechanics and Engineering},
+ publisher = {Elsevier BV},
+ year = {2008},
+ volume = {197},
+ number = {25-28},
+ pages = {2210--2231},
+ doi = {10.1016/j.cma.2007.09.015},
+ url = {https://doi.org/10.1016/j.cma.2007.09.015}
}
-
@article{Heltai2012,
- doi = {10.1016/j.cma.2012.04.001},
- url = {https://doi.org/10.1016/j.cma.2012.04.001},
- year = {2012},
- month = jul,
- publisher = {Elsevier {BV}},
- volume = {229-232},
- pages = {110--127},
- author = {Luca Heltai and Francesco Costanzo},
- title = {Variational implementation of immersed finite element methods},
- journal = {Computer Methods in Applied Mechanics and Engineering}
+ author = {L. Heltai and F. Costanzo},
+ title = {Variational implementation of immersed finite element methods},
+ journal = {Computer Methods in Applied Mechanics and Engineering},
+ publisher = {Elsevier BV},
+ year = {2012},
+ volume = {229-232},
+ pages = {110--127},
+ doi = {10.1016/j.cma.2012.04.001},
+ url = {https://doi.org/10.1016/j.cma.2012.04.001}
}
@article{Riviere1999,
- doi = {10.1023/a:1011591328604},
- url = {https://doi.org/10.1023/a:1011591328604},
- year = {1999},
+ author = {B. Rivi{\`{e}}re and M.F. Wheeler and V. Girault},
+ title = {Improved energy estimates for interior penalty, constrained and discontinuous {G}alerkin methods for elliptic problems. {P}art {I}},
+ journal = {Computational Geosciences},
publisher = {Springer Science and Business Media {LLC}},
- volume = {3},
- number = {3/4},
- pages = {337--360},
- author = {B{\'{e}}atrice Rivi{\`{e}}re and Mary F. Wheeler and Vivette Girault},
- journal = {Computational Geosciences},
- title = {Improved energy estimates for interior penalty, constrained and discontinuous {G}alerkin methods for elliptic problems. {P}art {I}}
+ year = {1999},
+ volume = {3},
+ number = {3},
+ pages = {337--360},
+ doi = {10.1023/a:1011591328604},
+ url = {https://doi.org/10.1023/a:1011591328604}
}
@book{Pelteret2019a,
- author = {Pelteret, J-P. V. and Steinmann, P.},
- publisher = {De Gruyter Mouton},
+ author = {J.-P. Pelteret and P. Steinmann},
title = {Magneto-active polymers: Fabrication, characterisation, modelling and simulation at the micro- and macro-scale},
+ publisher = {De Gruyter Mouton},
year = {2019},
edition = {1},
- isbn = {9783110419511},
- comment = {In collaboration with: B. Brands, G. Chatzigeorgiou, D. Davydov, M. Hossain, A. Javili, D. Pivovarov, P. Saxena, F. Vogel, D.K. Vu, B. Walter and R. Zabihyan},
doi = {10.1515/9783110418576},
- url = {https://www.degruyter.com/document/doi/10.1515/9783110418576/html},
+ url = {https://www.degruyter.com/document/doi/10.1515/9783110418576/html}
}
@book{Logg2012a,
publisher = {Springer Berlin Heidelberg},
year = {2012},
editor = {A. Logg and K.-A. Mardal and G. Wells},
- isbn = {978-3-642-23098-1},
doi = {10.1007/978-3-642-23099-8},
+ url = {https://doi.org/10.1007/978-3-642-23099-8}
}
@book{Korelc2016a,
+ author = {J. Korelc and P. Wriggers},
title = {Automation of Finite Element Methods},
publisher = {Springer Nature},
year = {2016},
- author = {J. Korelc and P. Wriggers},
- isbn = {978-3-319-39003-1},
doi = {10.1007/978-3-319-39005-5},
+ url = {https://doi.org/10.1007/978-3-319-39005-5}
}
@inbook{Truesdell1960a,
+ author = {C. Truesdell and R. Toupin},
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chapter = {2: The classical field theories},
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publisher = {Springer-Verlag Berlin Heidelberg},
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- volume = {1},
- isbn = {978-3-540-02547-4},
+ year = {1960},
+ editor = {S. Fl\"{u}gge},
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doi = {10.1007/978-3-642-45943-6},
+ url = {https://doi.org/10.1007/978-3-642-45943-6}
}
-@Article{Coleman1963a,
- author = {Coleman, B. D. and Noll, W.},
+@article{Coleman1963a,
+ author = {B.D. Coleman and W. Noll},
title = {The thermodynamics of elastic materials with heat conduction and viscosity},
journal = {Archive for Rational Mechanics and Analysis},
+ publisher = {Springer},
year = {1963},
volume = {13},
number = {1},
pages = {167--178},
- month = dec,
doi = {10.1007/BF01262690},
- publisher = {Springer},
+ url = {https://doi.org/10.1007/BF01262690}
}
-@Article{Coleman1967a,
- author = {Coleman, B. D. and Gurtin, M. E.},
+@article{Coleman1967a,
+ author = {B.D. Coleman and M.E. Gurtin},
title = {Thermodynamics with internal state variables},
+ journal = {The Journal of Chemical Physics},
+ publisher = {{AIP} Publishing},
year = {1967},
volume = {47},
number = {2},
pages = {597--613},
doi = {10.1063/1.1711937},
- journal = {The Journal of Chemical Physics},
- publisher = {AIP Publishing},
+ url = {https://doi.org/10.1063/1.1711937}
}
-@InCollection{Pao1978a,
- author = {Pao, Y. H.},
+@incollection{Pao1978a,
+ author = {Y.H. Pao},
title = {Electromagnetic Forces in Deformable Continua},
booktitle = {Mechanics Today},
publisher = {Elsevier},
year = {1978},
- editor = {Nemat-Nasser, S.},
+ editor = {S. Nemat-Nasser},
volume = {4},
series = {Pergamon Mechanics Today Series},
chapter = {IV},
pages = {209--305},
address = {New York},
- isbn = {978-0-08-021792-5},
doi = {10.1016/b978-0-08-021792-5.50012-4},
+ url = {https://doi.org/10.1016/b978-0-08-021792-5.50012-4}
}
-@Article{Holzapfel1996a,
- author = {Holzapfel, G. A. and Simo, J. C.},
+@article{Holzapfel1996a,
+ author = {G.A. Holzapfel and J.C. Simo},
title = {A new viscoelastic constitutive model for continuous media at finite thermomechanical changes},
journal = {International Journal of Solids and Structures},
+ publisher = {Elsevier},
year = {1996},
volume = {33},
number = {20--22},
pages = {3019--3034},
- month = aug,
- doi = {10.1016/0020-7683(95)00263-4},
- publisher = {Elsevier},
+% doi = {10.1016/0020-7683(95)00263-4},
+ url = {https://doi.org/10.1016/0020-7683(95)00263-4}
}
-@Book{Holzapfel2007a,
+@book{Holzapfel2007a,
+ author = {G.A. Holzapfel},
title = {Nonlinear Solid Mechanics: A Continuum Approach for Engineering},
publisher = {John Wiley \& Sons Ltd.},
year = {2007},
- author = {Holzapfel, G. A.},
- address = {West Sussex, England},
- isbn = {0-471-82304-X}
+ address = {West Sussex, England}
}
-@Article{Linder2011a,
- author = {Linder, C. and Tkachuk, M. and Miehe, C.},
+@article{Linder2011a,
+ author = {C. Linder and M. Tkachuk and C. Miehe},
title = {A micromechanically motivated diffusion-based transient network model and its incorporation into finite rubber viscoelasticity},
journal = {Journal of the Mechanics and Physics of Solids},
+ publisher = {Elsevier},
year = {2011},
volume = {59},
number = {10},
pages = {2134--2156},
- month = oct,
- doi = {10.1016/j.jmps.2011.05.005},
- publisher = {Elsevier},
+% doi = {10.1016/j.jmps.2011.05.005},
+ url = {https://doi.org/10.1016/j.jmps.2011.05.005}
}
-@Article{Pelteret2018a,
- author = {Pelteret, J.-P. V. and Walter, B. and Steinmann, P.},
+@article{Pelteret2018a,
+ author = {J.-P. Pelteret and B. Walter and P. Steinmann},
title = {Application of metaheuristic algorithms to the identification of nonlinear magneto-viscoelastic constitutive parameters},
journal = {Journal of Magnetism and Magnetic Materials},
+ publisher = {Elsevier BV},
year = {2018},
volume = {464},
pages = {116--131},
- month = oct,
doi = {10.1016/j.jmmm.2018.02.094},
- publisher = {Elsevier {BV}},
+ url = {https://doi.org/10.1016/j.jmmm.2018.02.094}
}
-@Article{Koprowski-Theiss2011a,
- author = {Koprowski-Theiss, N. and Johlitz, M. and Diebels, S.},
+@article{Koprowski-Theiss2011a,
+ author = {N. Koprowski-Theiss and M. Johlitz and S. Diebels},
title = {Characterizing the time dependence of filled {EPDM}},
journal = {Rubber Chemistry and Technology},
year = {2011},
volume = {84},
number = {2},
pages = {147--165},
- month = jun,
- doi = {10.5254/1.3570527}
+ doi = {10.5254/1.3570527},
+ url = {https://doi.org/10.5254/1.3570527}
}
% ------------------------------------
@book{di2011mathematical,
- title={Mathematical aspects of discontinuous Galerkin methods},
- author={Di Pietro, Daniele Antonio and Ern, Alexandre},
- volume={69},
- year={2011},
- publisher={Springer Science \& Business Media}
+ author = {D.A. Di Pietro and A. Ern},
+ title = {Mathematical aspects of discontinuous {G}alerkin methods},
+ publisher = {Springer Science \& Business Media},
+ volume = {69},
+ year = {2011},
+ url = {https://doi.org/10.1007/978-3-642-22980-0}
}
@article{ainsworth2007posteriori,
- title={A posteriori error estimation for discontinuous Galerkin finite element approximation},
- author={Ainsworth, Mark},
- journal={SIAM Journal on Numerical Analysis},
- volume={45},
- number={4},
- pages={1777--1798},
- year={2007},
- publisher={SIAM}
+ author = {M. Ainsworth},
+ title = {A posteriori error estimation for discontinuous {G}alerkin finite element approximation},
+ journal = {SIAM Journal on Numerical Analysis},
+ publisher = SIAM,
+ year = {2007},
+ volume = {45},
+ number = {4},
+ pages = {1777--1798},
+ url = {https://doi.org/10.1137/060665993}
}
% ------------------------------------
@book{brenner2008,
- title = {The {{Mathematical Theory}} of {{Finite Element Methods}}},
- author = {Brenner, Susanne and Scott, Ridgway},
+ author = {S. Brenner and R. Scott},
+ title = {The {{Mathematical Theory}} of {{Finite Element Methods}}},
+ publisher = {{Springer-Verlag}},
year = {2008},
edition = {3},
- publisher = {{Springer-Verlag}},
+ series = {Texts in {{Applied Mathematics}}},
location = {{New York}},
- url = {https://www.springer.com/de/book/9780387759333},
- isbn = {978-0-387-75933-3},
- series = {Texts in {{Applied Mathematics}}}
+ url = {https://www.springer.com/de/book/9780387759333}
}
@article{mitchell2010hpmg,
+ author = {W.F. Mitchell},
title = {The \textit{hp}‐multigrid method applied to \textit{hp}‐adaptive refinement of triangular grids},
- author = {Mitchell, William F.},
- year = {2010},
- month = {Apr},
journal = {Numerical Linear Algebra with Applications},
+ year = {2010},
volume = {17},
+ number = {2-3}
pages = {211--228},
- issn = {1070-5325},
doi = {10.1002/nla.700},
- number = {2-3}
+ url = {https://doi.org/10.1002/nla.700}
}
@article{mitchell2014hp,
- title = {A {{Comparison}} of \textit{hp}-{{Adaptive Strategies}} for {{Elliptic Partial Differential Equations}}},
- author = {Mitchell, William F. and McClain, Marjorie A.},
+ author = {W.F. Mitchell and M.A. McClain},
+ title = {A Comparison of \textit{hp}-Adaptive Strategies for Elliptic Partial Differential Equations},
+ journal = {ACM Transactions on Mathematical Software},
year = {2014},
- month = {Oct},
- journal = {ACM Trans. Math. Softw.},
volume = {41},
+ number = {1}
pages = {2/1-39},
- issn = {0098-3500},
doi = {10.1145/2629459},
- number = {1}
+ url = {https://doi.org/10.1145/2629459}
}
% ------------------------------------
@misc{munch2020hyperdeal,
- title={hyper.deal: An efficient, matrix-free finite-element library for high-dimensional partial differential equations},
- author={Peter Munch and Katharina Kormann and Martin Kronbichler},
- year={2020},
- eprint={2002.08110},
- archivePrefix={arXiv},
- primaryClass={cs.MS}
+ author = {P. Munch and K. Kormann and M. Kronbichler},
+ title = {hyper.deal: An efficient, matrix-free finite-element library for high-dimensional partial differential equations},
+ year = {2020},
+ eprint = {2002.08110},
+ archivePrefix = {arXiv},
+ primaryClass = {cs.MS}
}
@article{eiwa96,
-author = {Stanley C. Eisenstat and Homer F. Walker},
-title = {Choosing the Forcing Terms in an Inexact {N}ewton Method},
-journal = {SIAM Journal on Scientific Computing},
-volume = {17},
-number = {1},
-pages = {16-32},
-year = {1996},
-doi = {10.1137/0917003},
-URL = {http://dx.doi.org/10.1137/0917003},
-eprint = {http://dx.doi.org/10.1137/0917003}
+ author = {C.E. Stanley and F.W. Homer},
+ title = {Choosing the Forcing Terms in an Inexact {N}ewton Method},
+ journal = {SIAM Journal on Scientific Computing},
+ year = {1996},
+ volume = {17},
+ number = {1},
+ pages = {16--32},
+ doi = {10.1137/0917003},
+ URL = {https://doi.org/10.1137/0917003}
}
% ------------------------------------
@article{black1973pricing,
- title={The Pricing of Options and Corporate Liabilities},
- author={Black, Fischer and Scholes, Myron},
- journal={The Journal of Political Economy},
- volume={81},
- number={3},
- pages={637--654},
- year={1973}
+ author = {F. Black and M. Scholes},
+ title = {The Pricing of Options and Corporate Liabilities},
+ journal = {The Journal of Political Economy},
+ year = {1973},
+ volume = {81},
+ number = {3},
+ pages = {637--654},
+ url = {https://doi.org/10.1086/260062}
}
@article{stoll1969relationship,
- title={The relationship between put and call option prices},
- author={Stoll, Hans R},
- journal={The Journal of Finance},
- volume={24},
- number={5},
- pages={801--824},
- year={1969},
- publisher={Wiley Online Library}
+ author = {H.R. Stoll},
+ title = {The relationship between put and call option prices},
+ journal = {The Journal of Finance},
+ publisher = {Wiley Online Library},
+ year = {1969},
+ volume = {24},
+ number = {5},
+ pages = {801--824},
+ url = {https://doi.org/10.1111/j.1540-6261.1969.tb01694.x}
}
% ------------------------------------
@book{Bendse2004,
- doi = {10.1007/978-3-662-05086-6},
- url = {https://doi.org/10.1007/978-3-662-05086-6},
- year = {2004},
+ author = {M.P. Bends{\o}e and O. Sigmund},
+ title = {Topology Optimization},
publisher = {Springer Berlin Heidelberg},
- author = {Martin P. Bends{\o}e and Ole Sigmund},
- title = {Topology Optimization}
+ year = {2004},
+ doi = {10.1007/978-3-662-05086-6},
+ url = {https://doi.org/10.1007/978-3-662-05086-6}
}
@book{Nocedal2006,
- doi = {10.1007/978-0-387-40065-5},
- url = {https://doi.org/10.1007/978-0-387-40065-5},
- year = {2006},
+ author = {J. Nocedal and S. Wright},
+ title = {Numerical Optimization},
publisher = {Springer New York},
- author = {Jorge Nocedal and Stephen Wright},
- title = {Numerical Optimization}
+ year = {2006},
+ doi = {10.1007/978-0-387-40065-5},
+ url = {https://doi.org/10.1007/978-0-387-40065-5}
}
@article{Waechter2005,
- doi = {10.1007/s10107-004-0559-y},
- url = {https://doi.org/10.1007/s10107-004-0559-y},
- year = {2005},
- month = apr,
+ author = {A. W\"{a}chter and L.T. Biegler},
+ title = {On the implementation of an interior-point filter line-search algorithm for large-scale nonlinear programming},
+ journal = {Mathematical Programming},
publisher = {Springer Science and Business Media {LLC}},
- volume = {106},
- number = {1},
- pages = {25--57},
- author = {Andreas W\"{a}chter and Lorenz T. Biegler},
- title = {On the implementation of an interior-point filter line-search algorithm for large-scale nonlinear programming},
- journal = {Mathematical Programming}
+ year = {2005},
+ volume = {106},
+ number = {1},
+ pages = {25--57},
+ doi = {10.1007/s10107-004-0559-y},
+ url = {https://doi.org/10.1007/s10107-004-0559-y}
}
@article{Nocedal2009,
- doi = {10.1137/060649513},
- url = {https://doi.org/10.1137/060649513},
- year = {2009},
- month = jan,
- publisher = {Society for Industrial {\&} Applied Mathematics ({SIAM})},
- volume = {19},
- number = {4},
- pages = {1674--1693},
- author = {Jorge Nocedal and Andreas W\"{a}chter and Richard A. Waltz},
- title = {Adaptive Barrier Update Strategies for Nonlinear Interior Methods},
- journal = {{SIAM} Journal on Optimization}
+ author = {J. Nocedal and A. W\"{a}chter and R.A. Waltz},
+ title = {Adaptive Barrier Update Strategies for Nonlinear Interior Methods},
+ journal = {SIAM Journal on Optimization},
+ publisher = {Society for Industrial {\&} Applied Mathematics (SIAM)},
+ year = {2009},
+ volume = {19},
+ number = {4},
+ pages = {1674--1693},
+ doi = {10.1137/060649513},
+ url = {https://doi.org/10.1137/060649513}
}
@article{Benson2002,
- doi = {10.1023/a:1020533003783},
- url = {https://doi.org/10.1023/a:1020533003783},
- year = {2002},
+ author = {H.Y. Benson and R.J. Vanderbei and D.F. Shanno},
+ title = {Interior-Point Methods for Nonconvex Nonlinear Programs: Filter Methods and Merit Functions},
+ journal = {Computational Optimization and Applications},
publisher = {Springer Science and Business Media {LLC}},
- volume = {23},
- number = {2},
- pages = {257--272},
- author = {Hande Y. Benson and Robert J. Vanderbei and David F. Shanno},
- journal = {Computational Optimization and Applications},
- title = {Interior-Point Methods for Nonconvex Nonlinear Programs: Filter Methods and Merit Functions}
+ year = {2002},
+ volume = {23},
+ number = {2},
+ pages = {257--272},
+ doi = {10.1023/a:1020533003783},
+ url = {https://doi.org/10.1023/a:1020533003783}
}
% ------------------------------------
@article{KGZB83,
- author = {Kelly, D. W. and {De S. R. Gago}, J. P. and Zienkiewicz, O. C.
- and Babu\v{s}ka, I.},
- title = {A posteriori error analysis and adaptive processes in the
- finite element method: Part {I}--Error Analysis},
- journal = {Int. J. Num. Meth. Engrg.},
+ author = {D.W. Kelly and J.P. De S. R. Gago and O.C. Zienkiewicz and I. Babu\v{s}ka},
+ title = {A posteriori error analysis and adaptive processes in the finite element method: Part {I}--Error Analysis},
+ journal = {International Journal for Numerical Methods in Engineering},
year = {1983},
volume = {19},
- pages = {1593--1619}
+ pages = {1593--1619},
+ url = {https://doi.org/10.1002/nme.1620191103}
}
@article{park2003p,
- title = {P1-nonconforming quadrilateral finite element methods for
- second-order elliptic problems},
- author = {Park, Chunjae and Sheen, Dongwoo},
+ author = {C. Park and D. Sheen},
+ title = {P1-nonconforming quadrilateral finite element methods for second-order elliptic problems},
journal = {SIAM Journal on Numerical Analysis},
+ publisher = SIAM,
+ year = {2003},
volume = {41},
number = {2},
pages = {624--640},
- year = {2003},
- publisher = {SIAM},
- doi = {10.1137/S0036142902404923}
+ doi = {10.1137/S0036142902404923},
+ url = {https://doi.org/10.1137/S0036142902404923}
}
@article{GLHPW2018,
- doi = {10.1029/2018gc007508},
- url = {https://doi.org/10.1029/2018gc007508},
- year = {2018},
- publisher = {American Geophysical Union ({AGU})},
- volume = {19},
- number = {9},
- pages = {3596--3604},
- author = {Rene Gassm\"{o}ller and Harsha Lokavarapu and Eric Heien and Elbridge Gerry Puckett and Wolfgang Bangerth},
- title = {Flexible and Scalable Particle-in-Cell Methods With Adaptive Mesh Refinement for Geodynamic Computations},
- journal = {Geochemistry, Geophysics, Geosystems}
-}
-
-@TechReport{Saad1991,
- Title = {{A {F}lexible {I}nner-{O}uter {P}reconditioned {GMRES} {A}lgorithm}},
+ author = {R. Gassm\"{o}ller and H. Lokavarapu and E. Heien and E.G. Puckett and W. Bangerth},
+ title = {Flexible and Scalable Particle-in-Cell Methods With Adaptive Mesh Refinement for Geodynamic Computations},
+ journal = {Geochemistry, Geophysics, Geosystems},
+ publisher = {American Geophysical Union (AGU)},
+ year = {2018},
+ volume = {19},
+ number = {9},
+ pages = {3596--3604},
+ doi = {10.1029/2018gc007508},
+ url = {https://doi.org/10.1029/2018gc007508}
+}
+
+@techreport{Saad1991,
Author = {Y. Saad},
+ Title = {{A Flexible Inner-Outer Preconditioned {GMRES} Algorithm}},
Institution = {Minnesota Supercomputer Institute},
Year = {1991},
Address = {University of Minnesota},
}
@article{ainsworth1998hp,
- author = {Ainsworth, Mark and Senior, Bill},
- title = {An adaptive refinement strategy for hp-finite element computations},
- journal = {{Applied Numerical Mathematics}},
+ author = {M. Ainsworth and B. Senior},
+ title = {An adaptive refinement strategy for \textit{hp}-finite element computations},
+ journal = {Applied Numerical Mathematics},
+ publisher = {Elsevier},
+ year = {1998},
volume = {26},
number = {1--2},
pages = {165--178},
- publisher = {Elsevier},
- year = {1998},
- doi = {10.1016/S0168-9274(97)00083-4}
+ doi = {10.1016/S0168-9274(97)00083-4},
+ url = {https://doi.org/10.1016/S0168-9274(97)00083-4}
}
@article{melenk2001hp,
- author = {Melenk, Jens Markus and Wohlmuth, Barbara I.},
- title = {{On residual-based a posteriori error estimation in hp-FEM}},
- journal = {{Advances in Computational Mathematics}},
+ author = {J.M. Melenk and B.I. Wohlmuth},
+ title = {On residual-based a posteriori error estimation in \textit{hp}-{FEM}},
+ journal = {Advances in Computational Mathematics},
+ publisher = {Springer US},
+ year = {2001},
volume = {15},
number = {1},
pages = {311--331},
- publisher = {Springer US},
- year = {2001},
- doi = {10.1023/A:1014268310921}
+ doi = {10.1023/A:1014268310921},
+ url = {https://doi.org/10.1023/A:1014268310921}
}
@article{mavriplis1994hp,
- author = {Mavriplis, Catherine},
+ author = {C. Mavriplis},
title = {Adaptive mesh strategies for the spectral element method},
- journal = {{Computer Methods in Applied Mechanics and Engineering}},
+ journal = {Computer Methods in Applied Mechanics and Engineering},
+ publisher = {Elsevier},
year = {1994},
volume = {116},
number = {1},
pages = {77--86},
- publisher = {Elsevier},
- doi = {10.1016/S0045-7825(94)80010-3}
+ url = {https://doi.org/10.1016/S0045-7825(94)80010-3}
}
@article{houston2005hp,
- author = {Houston, Paul and S{\"u}li, Endre},
- title = {A note on the design of hp-adaptive finite element methods for elliptic partial differential equations},
- journal = {{Computer Methods in Applied Mechanics and Engineering}},
- number = {2},
- pages = {229--243},
+ author = {P. Houston and E. S{\"u}li},
+ title = {A note on the design of \textit{hp}-adaptive finite element methods for elliptic partial differential equations},
+ journal = {Computer Methods in Applied Mechanics and Engineering},
publisher = {Elsevier},
- volume = {194},
year = {2005},
- doi = {10.1016/j.cma.2004.04.009}
+ number = {2},
+ volume = {194},
+ pages = {229--243},
+ doi = {10.1016/j.cma.2004.04.009},
+ url = {https://doi.org/10.1016/j.cma.2004.04.009}
}
@article{eibner2007hp,
- author = {Eibner, Tino and Melenk, Jens Markus},
- title = {{An adaptive strategy for hp-FEM based on testing for analyticity}},
- journal = {{Computational Mechanics}},
+ author = {T. Eibner and J.M. Melenk},
+ title = {An adaptive strategy for \textit{hp}-{FEM} based on testing for analyticity},
+ journal = {Computational Mechanics},
+ publisher = {Springer},
year = {2007},
volume = {39},
number = {5},
pages = {575--595},
- publisher = {Springer},
- doi = {10.1007/s00466-006-0107-0}
+ doi = {10.1007/s00466-006-0107-0},
+ url = {https://doi.org/10.1007/s00466-006-0107-0}
}
@article{davydov2017hp,
- author = {Davydov, Denis and Gerasimov, Tymofiy and Pelteret, Jean-Paul and Steinmann, Paul},
- title = {{Convergence study of the h-adaptive PUM and the hp-adaptive FEM applied to eigenvalue problems in quantum mechanics}},
- journal = {{Advanced Modeling and Simulation in Engineering Sciences}},
+ author = {D. Davydov and T. Gerasimov and J.-P. Pelteret and P. Steinmann},
+ title = {Convergence study of the \textit{h}-adaptive {PUM} and the \textit{hp}-adaptive {FEM} applied to eigenvalue problems in quantum mechanics},
+ journal = {Advanced Modeling and Simulation in Engineering Sciences},
year = {2017},
volume = {4},
number = {1},
pages = {7},
- issn = {2213-7467},
- doi = {10.1186/s40323-017-0093-0}
+% doi = {10.1186/s40323-017-0093-0},
+ url = {https://doi.org/10.1186/s40323-017-0093-0}
}
-@Article{clevenger_par_gmg,
- Title = {A Flexible, Parallel, Adaptive Geometric Multigrid method for FEM},
- Author = {Thomas C. Clevenger and Timo Heister and Guido Kanschat and Martin Kronbichler},
+@article{clevenger_par_gmg,
+ Author = {T.C. Clevenger and T. Heister and G. Kanschat and M. Kronbichler},
+ Title = {A Flexible, Parallel, Adaptive Geometric Multigrid method for {FEM}},
Journal = {submitted},
Year = {2019},
Url = {https://arxiv.org/abs/1904.03317}
}
-
-@Book{CodeComplete,
- author = {Steve McConnell},
- title = {Code Complete},
- publisher = {Microsoft Press},
- year = 2004,
+@book{CodeComplete,
+ author = {S. McConnell},
+ title = {Code Complete},
+ publisher = {Microsoft Press},
+ year = 2004,
edition = {second}
}
@article{gottlieb2001strong,
- title={Strong stability-preserving high-order time discretization methods},
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- journal={SIAM review},
- volume={43},
- number={1},
- pages={89--112},
- year={2001},
- publisher={SIAM}
+ author = {S. Gottlieb and C.-W. Shu and E. Tadmor},
+ title = {Strong stability-preserving high-order time discretization methods},
+ journal = {SIAM review},
+ publisher = SIAM,
+ year = {2001},
+ volume = {43},
+ number = {1},
+ pages = {89--112},
+ url = {https://doi.org/10.1137/S003614450036757X}
}
@article{melenk1996,
+ author = {J.M. Melenk and I. Babu\v{s}ka},
title = {The partition of unity finite element method: Basic theory and applications},
- author = {Melenk, J.M. and Babu\v{s}ka, I.},
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year = {1996},
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+ pages = {289--314},
+ doi = {10.1016/S0045-7825(96)01087-0},
+ url = {https://doi.org/10.1016/S0045-7825(96)01087-0}
}
@article{babuska1997,
+ author = {I. Babu\v{s}ka and J.M. Melenk},
title = {The partition of unity method},
- author = {Babu\v{s}ka, I. and Melenk, J. M.},
journal = {International Journal for Numerical Methods in Engineering},
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volume = {40},
- doi = {10.1002/(SICI)1097-0207(19970228)40:4<727::AID-NME86>3.0.CO;2-N}
+ pages = {727--758},
+ doi = {10.1002/(SICI)1097-0207(19970228)40:4<727::AID-NME86>3.0.CO;2-N},
+ url = {https://doi.org/10.1002/(SICI)1097-0207(19970228)40:4<727::AID-NME86>3.0.CO;2-N}
}
@article{Bartels2004,
- doi = {10.1007/s00211-004-0548-3},
- url = {https://doi.org/10.1007/s00211-004-0548-3},
- year = {2004},
- month = sep,
+ author = {S. Bartels and C. Carstensen and G. Dolzmann},
+ title = {Inhomogeneous Dirichlet conditions in a priori and a posteriori finite element error analysis},
+ journal = {Numerische Mathematik},
publisher = {Springer Science and Business Media {LLC}},
- volume = {99},
- number = {1},
- pages = {1--24},
- author = {S. Bartels and C. Carstensen and G. Dolzmann},
- title = {Inhomogeneous Dirichlet conditions in a priori and a posteriori finite element error analysis},
- journal = {Numerische Mathematik}
+ year = {2004},
+ volume = {99},
+ number = {1},
+ pages = {1--24},
+ doi = {10.1007/s00211-004-0548-3},
+ url = {https://doi.org/10.1007/s00211-004-0548-3}
}
@article{fried1975finite,
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- journal={International Journal of Solids and Structures},
- volume={11},
- number={4},
- pages={461--466},
- year={1975},
- publisher={Elsevier}
+ author = {I. Fried and D.S. Malkus},
+ title = {Finite element mass matrix lumping by numerical integration with no convergence rate loss},
+ journal = {International Journal of Solids and Structures},
+ publisher = {Elsevier},
+ year = {1975},
+ volume = {11},
+ number = {4},
+ pages = {461--466},
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}
@article{Geevers_2018,
- title={New Higher-Order Mass-Lumped Tetrahedral Elements for Wave Propagation Modelling},
- volume={40},
- ISSN={1095-7197},
- url={http://dx.doi.org/10.1137/18M1175549},
- DOI={10.1137/18m1175549},
- number={5},
- journal={SIAM Journal on Scientific Computing},
- publisher={Society for Industrial & Applied Mathematics (SIAM)},
- author={Geevers, S. and Mulder, W. A. and van der Vegt, J. J. W.},
- year={2018},
- month={Jan},
- pages={A2830–A2857}
+ author = {S. Geevers and W.A. Mulder and J.J.W. van der Vegt},
+ title = {New Higher-Order Mass-Lumped Tetrahedral Elements for Wave Propagation Modelling},
+ journal = {SIAM Journal on Scientific Computing},
+ publisher = {Society for Industrial & Applied Mathematics (SIAM)},
+ year = {2018},
+ number = {5},
+ volume = {40},
+ pages = {A2830--A2857},
+ DOI = {10.1137/18m1175549},
+ url = {https://doi.org/10.1137/18m1175549}
}
@article{witherden2015identification,
- title={On the identification of symmetric quadrature rules for finite element methods},
- author={Witherden, Freddie D and Vincent, Peter E},
- journal={Computers \& Mathematics with Applications},
- volume={69},
- number={10},
- pages={1232--1241},
- year={2015},
- publisher={Elsevier}
+ author = {F.D. Witherden and P.E. Vincent},
+ title = {On the identification of symmetric quadrature rules for finite element methods},
+ journal = {Computers \& Mathematics with Applications},
+ publisher = {Elsevier},
+ year = {2015},
+ volume = {69},
+ number = {10},
+ pages = {1232--1241},
+ url = {https://doi.org/10.1016/j.camwa.2015.03.017}
}
@online{quadpy,
- author = {Schl{\"o}mer, Nico},
- title = {quadpy: Your one-stop shop for numerical integration in Python},
- year = 2021,
- url = {https://github.com/nschloe/quadpy/},
+ author = {N. Schl{\"o}mer},
+ title = {quadpy: Your one-stop shop for numerical integration in {P}ython},
+ year = 2021,
+ url = {https://github.com/nschloe/quadpy/},
urldate = {2021-02-08}
}
@Article{AABB17,
- author = {R. Agelek and M. Anderson and W. Bangerth and W. L. Barth},
- title = {On orienting edges of unstructured two- and three-dimensional meshes},
- journal = {ACM Transactions on Mathematical Software},
- year = 2017,
- volume = 44,
- pages = {5/1--22}}
+ author = {R. Agelek and M. Anderson and W. Bangerth and W.L. Barth},
+ title = {On orienting edges of unstructured two- and three-dimensional meshes},
+ journal = {ACM Transactions on Mathematical Software},
+ year = {2017},
+ volume = {44},
+ number = {1},
+ pages = {5/1--22},
+ url = {https://doi.org/10.1145/3061708}
+}
@article{hoefler2010scalable,
- title={Scalable communication protocols for dynamic sparse data exchange},
- author={Hoefler, Torsten and Siebert, Christian and Lumsdaine, Andrew},
- journal={ACM Sigplan Notices},
- volume={45},
- number={5},
- pages={159--168},
- year={2010},
- publisher={ACM New York, NY, USA}
+ author = {T. Hoefler and C. Siebert and A. Lumsdaine},
+ title = {Scalable communication protocols for dynamic sparse data exchange},
+ journal = {ACM Sigplan Notices},
+ publisher = {ACM New York, NY, USA},
+ year = {2010},
+ volume = {45},
+ number = {5},
+ pages = {159--168},
+ url = {https://doi.org/10.1145/1837853.1693476}
}
projects / dealii.git / commitdiff